GCF and LCM Calculator Logo

What is the Least Common Multiple of 25583 and 25591?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 25583 and 25591 is 654694553.

LCM(25583,25591) = 654694553

LCM Calculator and
and

Least Common Multiple of 25583 and 25591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25583 and 25591, than apply into the LCM equation.

GCF(25583,25591) = 1
LCM(25583,25591) = ( 25583 × 25591) / 1
LCM(25583,25591) = 654694553 / 1
LCM(25583,25591) = 654694553

Least Common Multiple (LCM) of 25583 and 25591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25583 and 25591. First we will calculate the prime factors of 25583 and 25591.

Prime Factorization of 25583

Prime factors of 25583 are 25583. Prime factorization of 25583 in exponential form is:

25583 = 255831

Prime Factorization of 25591

Prime factors of 25591 are 157, 163. Prime factorization of 25591 in exponential form is:

25591 = 1571 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 25583 and 25591.

LCM(25583,25591) = 255831 × 1571 × 1631
LCM(25583,25591) = 654694553